Mathematics Grade 7 15 min

Add, subtract, multiply, or divide two decimals

Add, subtract, multiply, or divide two decimals

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Introduction & Learning Objectives

Learning Objectives Accurately add two decimals by aligning their place values. Accurately subtract two decimals, including those requiring borrowing and placeholder zeros. Multiply two decimals and correctly place the decimal point in the product. Divide two decimals by transforming the divisor into a whole number. Estimate the results of decimal operations to check for reasonableness. Solve real-world problems involving the four basic operations with decimals. Ever wonder how stores calculate your total bill when you buy items priced like $3.75 and $1.20? 🛍️ It all comes down to working with decimals! In this lesson, you'll master the essential skills of adding, subtracting, multiplying, and dividing decimals. Understanding these operations is crucial for managing mo...
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Key Concepts & Vocabulary

TermDefinitionExample DecimalA number that contains a decimal point, representing a part of a whole. It extends the place value system to include values less than one.3.14 (three and fourteen hundredths); 0.5 (five tenths). Place ValueThe value of a digit based on its position in a number. For decimals, positions to the right of the decimal point represent fractions (tenths, hundredths, etc.).In 5.27, the '2' is in the tenths place (0.2), and the '7' is in the hundredths place (0.07). SumThe result obtained when two or more numbers are added together.The sum of 1.5 and 2.3 is 3.8. DifferenceThe result obtained when one number is subtracted from another.The difference between 5.0 and 2.5 is 2.5. ProductThe result obtained when two or more numbers are multiplied together...
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Core Formulas

Adding and Subtracting Decimals Rule Align the decimal points vertically, add zeros as placeholders if needed so both numbers have the same number of decimal places, then add or subtract as with whole numbers. Place the decimal point in the answer directly below the aligned decimal points. Use this rule when combining quantities (addition) or finding the difference between them (subtraction). Proper alignment is key to ensuring digits of the same place value are operated on together. Multiplying Decimals Rule Multiply the numbers as if they were whole numbers, ignoring the decimal points initially. Count the total number of decimal places in both factors. Place the decimal point in the product so it has the same total number of decimal places, counting from the right. Apply...

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Sample Practice Questions

Challenging
A contractor needs to buy 8.5 kilograms of nails that cost $4.20 per kilogram and 2.5 meters of wire that costs $1.50 per meter. He pays with a $50 bill. How much change does he receive?
A.$39.45
B.$10.55
C.$14.30
D.$11.75
Challenging
A student solved 12 - 4.08 and their work is shown below: 12 - 4.08 ------ 8.08 What is the student's error?
A.They subtracted incorrectly in the ones column.
B.They misaligned the decimal points.
C.They forgot to add placeholder zeros to 12 and borrow correctly.
D.They should have added the numbers instead of subtracting.
Challenging
The product of two numbers is 2.4. If one of the numbers is 0.8, what is the other number?
A.3.0
B.1.92
C.3.2
D.0.3

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